Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras:
Gespeichert in:
Beteiligte Personen: | , |
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Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Providence, RI
American Math. Soc.
1987
|
Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
372 |
Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002328199&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Beschreibung: | Volume 69, Number 372 (end of volume) |
Umfang: | VII, 147 S. |
ISBN: | 082182435X |
Internformat
MARC
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100 | 1 | |a Goodearl, Kenneth R. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras |c K. R. Goodearl and D. E. Handelman |
264 | 1 | |a Providence, RI |b American Math. Soc. |c 1987 | |
300 | |a VII, 147 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 372 | |
500 | |a Volume 69, Number 372 (end of volume) | ||
650 | 7 | |a Algebras De Banach |2 larpcal | |
650 | 4 | |a C*-algebras | |
650 | 4 | |a K-theory | |
650 | 4 | |a Von Neumann regular rings | |
650 | 0 | 7 | |a K-Theorie |0 (DE-588)4033335-8 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a C-Stern-Algebra |0 (DE-588)4136693-1 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a K-Theorie |0 (DE-588)4033335-8 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a C-Stern-Algebra |0 (DE-588)4136693-1 |D s |
689 | 1 | |5 DE-604 | |
700 | 1 | |a Handelman, David |e Verfasser |4 aut | |
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Datensatz im Suchindex
DE-BY-TUM_katkey | 1564266 |
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adam_text | CONTENTS
INTRODUCTION v
I. BACKGROUND (ordered abelian groups; classification of unital ultramatricial 1
C algebras and of unital complex AF C* algebras)
II. DESCRIPTION OF THE INVARIANT (introduction of 1 ; some basic 6
properties)
III. FULLNESS OF THE INVARIANT (a functorial property of *) 13
IV. FAITHFULNESS OF THE INVARIANT (UP TO INNER 21
AUTOMORPHISMS) (another functorial property of 1 )
V. COMPLETENESS OF THE INVARIANT (classification of unital direct 27
limits of sequences of finite dimensional semisimple R algebras via 1»
and Z, up to isomorphism and Morita equivalence)
VI. PROPERTIES OF THE INVARIANT (some technical restrictions on it) 33
VII. APPLICATIONS (use of b to distinguish unital direct limits built from 40
matrices over only one or two of R, C, IH)
VIII. FORM OF THE INVARIANT (preliminary description of those diagrams 53
appearing as 1t(R) s)
IX. ALGEBRAS OF TYPE rh (exact characterization of those diagrams appearing 71
as 1* of algebras of type rh)
X. ALGEBRAS OF TYPE c (exact characterization of those diagrams appearing 81
as 1t of algebras of type c)
XI. MINIMALITY OF THE INVARIANT (examples showing that 1i cannot 95
be reduced to a diagram using only two of the three Kq s)
XII. NON UNITAL Ko (outline of Kq for algebras without unit; classification 100
of non unital ultramatricial C algebras and of non unital complex AF
C* algebras)
XIII. CLASSIFICATION OF NON UNITAL DIRECT LIMITS (non unital 109
analogs of Chapters V,VII,IX)
XIV. REAL AF C* ALGEBRAS (real AF C* analogs of Chapters V,Vn,IX,X, 125
xm)
XV. PERIOD TWO AUTOMORPHISMS OF COMPLEX AF 131
C* ALGEBRAS (connection between such automorphisms and real
AF C* algebras of type c)
XVI. REMARKS AND PROBLEMS 136
REFERENCES 141
INDEX OF DEFINITIONS 144
|
any_adam_object | 1 |
author | Goodearl, Kenneth R. Handelman, David |
author_facet | Goodearl, Kenneth R. Handelman, David |
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author_sort | Goodearl, Kenneth R. |
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callnumber-raw | QA3 |
callnumber-search | QA3 |
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ctrlnum | (OCoLC)16354583 (DE-599)BVBBV003656112 |
dewey-full | 510 512/.55 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics 512 - Algebra |
dewey-raw | 510 512/.55 |
dewey-search | 510 512/.55 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV003656112 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T08:08:06Z |
institution | BVB |
isbn | 082182435X |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002328199 |
oclc_num | 16354583 |
open_access_boolean | |
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physical | VII, 147 S. |
publishDate | 1987 |
publishDateSearch | 1987 |
publishDateSort | 1987 |
publisher | American Math. Soc. |
record_format | marc |
series | American Mathematical Society: Memoirs of the American Mathematical Society |
series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
spellingShingle | Goodearl, Kenneth R. Handelman, David Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras American Mathematical Society: Memoirs of the American Mathematical Society Algebras De Banach larpcal C*-algebras K-theory Von Neumann regular rings K-Theorie (DE-588)4033335-8 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
subject_GND | (DE-588)4033335-8 (DE-588)4136693-1 |
title | Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras |
title_auth | Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras |
title_exact_search | Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras |
title_full | Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras K. R. Goodearl and D. E. Handelman |
title_fullStr | Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras K. R. Goodearl and D. E. Handelman |
title_full_unstemmed | Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras K. R. Goodearl and D. E. Handelman |
title_short | Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras |
title_sort | classification of ring and c algebra direct limits of finite dimensional semisimple real algebras |
topic | Algebras De Banach larpcal C*-algebras K-theory Von Neumann regular rings K-Theorie (DE-588)4033335-8 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
topic_facet | Algebras De Banach C*-algebras K-theory Von Neumann regular rings K-Theorie C-Stern-Algebra |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002328199&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008000141 |
work_keys_str_mv | AT goodearlkennethr classificationofringandcalgebradirectlimitsoffinitedimensionalsemisimplerealalgebras AT handelmandavid classificationofringandcalgebradirectlimitsoffinitedimensionalsemisimplerealalgebras |
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0102 MAT 001z 2001 B 990-368/372 Lageplan |
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